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      Entropic Lattice Boltzmann Models for Hydrodynamics in Three Dimensions

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      Physical Review Letters

      American Physical Society (APS)

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          Application of a fractional-step method to incompressible Navier-Stokes equations

           J. Kim,  P Moin (1985)
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            Perfect entropy functions of the Lattice Boltzmann method

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              Is Open Access

              Minimal entropic kinetic models for simulating hydrodynamics

              We derive minimal discrete models of the Boltzmann equation consistent with equilibrium thermodynamics, and which recover correct hydrodynamics in arbitrary dimensions. A simple analytical procedure of constructing the equilibrium for the nonisothermal hydrodynamics is established. A new discrete velocity model is proposed for the simulation of the Navier-Stokes-Fourier equation and is tested in the set up of Taylor vortex flow. For the lattice Boltzmann method of isothermal hydrodynamics, the explicit analytical form of the equilibrium distribution is presented.
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                Author and article information

                Journal
                PRLTAO
                Physical Review Letters
                Phys. Rev. Lett.
                American Physical Society (APS)
                0031-9007
                1079-7114
                July 2006
                July 7 2006
                : 97
                : 1
                Article
                10.1103/PhysRevLett.97.010201
                a2bfd43e-c7cb-46c0-9ccf-3845b8373297
                © 2006

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